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1376151879025 = 52721142772
BaseRepresentation
bin10100000001101001000…
…010110011110101110001
311212120002101112201122001
4110001221002303311301
5140021324340112100
62532110114414001
7201265216653400
oct24015102636561
94776071481561
101376151879025
11490693950000
121a285a591301
139ca02c16aa1
144a86b227637
1525be466ed6a
hex140690b3d71

1376151879025 has 135 divisors (see below), whose sum is σ = 2191429397745. Its totient is φ = 854763940800.

The previous prime is 1376151879017. The next prime is 1376151879041. The reversal of 1376151879025 is 5209781516731.

The square root of 1376151879025 is 1173095.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 315350756721 + 1060801122304 = 561561^2 + 1029952^2 .

It is not a de Polignac number, because 1376151879025 - 23 = 1376151879017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4968057187 + ... + 4968057463.

Almost surely, 21376151879025 is an apocalyptic number.

1376151879025 is the 1173095-th square number.

1376151879025 is the 586548-th centered octagonal number.

It is an amenable number.

1376151879025 is a deficient number, since it is larger than the sum of its proper divisors (815277518720).

1376151879025 is an frugal number, since it uses more digits than its factorization.

1376151879025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 1376151879025 in words is "one trillion, three hundred seventy-six billion, one hundred fifty-one million, eight hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 277 385 539 605 847 1225 1331 1385 1925 1939 2695 3025 3047 4235 5929 6655 6925 9317 9695 13475 13573 14641 15235 21175 21329 29645 33275 33517 46585 48475 65219 67865 73205 76175 76729 102487 106645 148225 149303 167585 232925 234619 326095 339325 366025 368687 383645 512435 533225 537103 717409 746515 837925 844019 1173095 1630475 1642333 1843435 1918225 2562175 2580809 2685515 3587045 3732575 3759721 4055557 4220095 5865475 5908133 8211665 9217175 9284209 12904045 13427575 17935225 18065663 18798605 20277785 21100475 28388899 29540665 41058325 41356931 46421045 64520225 64989463 90328315 93993025 101388925 102126299 141944495 147703325 198722293 206784655 232105225 324947315 451641575 454926241 510631495 709722475 714884093 993611465 1033923275 1123389289 1624736575 2274631205 2553157475 3574420465 4968057325 5004188651 5616946445 7863725023 11373156025 17872102325 25020943255 28084732225 39318625115 55046075161 125104716275 196593125575 275230375805 1376151879025